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A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients
Huang, Jizu1,2; Cao, Liqun1; Yang, Chao3
2015-09-01
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
Volume266Pages:149-168
AbstractThis paper, as a continued work of Huang and Cao (2014), discusses the multiscale computation of the radiative heat transfer in composite materials or porous media. A novel multiscale asymptotic expansion is presented, and an explicit rate of convergence is derived. We develop a multiscale algorithm for solving this kind of problem. A fully implicit scheme is carefully studied and an iterative algorithm is given. The convergence of the iterative algorithm is proved by the fixed point method. Numerical results confirm the efficiency and accuracy of this approach and show that the novel multiscale asymptotic expansion is essential for the radiative-dominated cases. (C) 2015 Elsevier Inc. All rights reserved.
KeywordRadiation heat transfer equation Homogenization Multiscale asymptotic expansion Composite materials Porous media
DOI10.1016/j.amc.2015.05.048
Language英语
Funding ProjectNational Natural Science Foundation of China[91330202] ; National Natural Science Foundation of China[90916027] ; National Natural Science Foundation of China[61170075] ; National Basic Research Program of China (973 Program)[2010CB832702] ; Funds for Creative Research Group of China[11321061]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000359300100014
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20570
Collection计算数学与科学工程计算研究所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China
3.Chinese Acad Sci, State Key Lab Comp Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Jizu,Cao, Liqun,Yang, Chao. A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2015,266:149-168.
APA Huang, Jizu,Cao, Liqun,&Yang, Chao.(2015).A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients.APPLIED MATHEMATICS AND COMPUTATION,266,149-168.
MLA Huang, Jizu,et al."A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients".APPLIED MATHEMATICS AND COMPUTATION 266(2015):149-168.
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